On Sárközy's theorem for shifted primes
Abstract
Suppose that $A \subset \{1,\dots, N\}$ has no two elements differing by $p-1$, $p$ prime. Then $|A| \ll N^{1 - c}$.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2022
- DOI:
- arXiv:
- arXiv:2206.08001
- Bibcode:
- 2022arXiv220608001G
- Keywords:
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- Mathematics - Number Theory;
- Mathematics - Combinatorics
- E-Print:
- 104 pages, accepted for publication in JAMS. v3 incorporates some corrections drawn to my attention by the referees